Theory of Electromagnetophoresis. I. Magnetohydrodynamic Forces Experienced by Spherical and Symmetrically Oriented Cylindrical Particles

TLDR

The electromagnetokinetic effect describes a force on a body in a fluid subjected to an electric current and transverse magnetic field. The study establishes equilibrium conditions for a homogeneous fluid and determines forces on suspended particles. Computations are performed for spherical and long cylindrical particles aligned with the magnetic field, electric current, and force. The effect can be observed with particles differing in electrical conductivity, dielectric constant, or magnetic permeability from the surrounding fluid.

Abstract

This paper is the first of a series dealing with the theory of the electromagnetokinetic effect. This effect consists of the exertion of a force upon a body submerged in a fluid which is traversed by an electric current and a transverse magnetic field. In this communication the conditions for equilibrium of an homogeneous fluid are established and forces upon particles suspended in the fluid are determined. The computations are carried out for spherical bodies and long cylindrical bodies oriented parallel to the magnetic field, to the electric current, and to the exerted force. It is shown that the effect could be observed with suspended particles which differ from the surrounding fluid in the value of their electrical conductivity or dielectric constant, and/or their magnetic permeability.